Victoria's shop sold vests and shirts. The vests were sold at $110 each and each shirt was sold at ²₅ of the price of each vest. Victoria sold ¹₂ of the items on the first day and collected $13552. ⁴₅ of the items sold on the first day were vests.

1. How many shirts were sold on the first day?
2. What was the total number of items left after the first day?

(a)

Sold		Unsold	Total
1x5		1x5	2x5
Vests	Shirts
4x1	1x1
4 u	1 u	5 u	10 u

The total number of vests and shirts sold is repeated.  Make the total number of vests and shirts sold the same.  LCM of 5 and 1 is 5.

	Vests	Shirts	Total
Number	4 u	1 u	5 u
Value	$110	$44
Total value	440 u	44 u	484 u

Cost of each shirt
= ²₅ x 110
= $44

Total amount collected from selling the vests and the shirts on the first day
= 440 u + 44 u
= 484 u

484 u = 13552

1 u = 13552 ÷ 484 = 28

Number of shirts sold on the first day
= 1 u
= 28

(b)
Total number of items left after the first day
= 5 u
= 5 x 28
= 140

Answer(s): (a) 28; (b) 140